On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

Details On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

2005-03-06

arxiv.org/abs/nlin/0503009v2

Theor. Math. Phys. 146 (2006) 131-139; Teor. Mat. Fiz. 146 (2006) 161-171 {Title:"Proof of the Absence of Elliptic Solutions o

Nonlinear Sciences

Pattern Formation and Solitons

LaTeX, 12 pages

Scientific paper

The cubic complex one-dimensional Ginzburg-Landau equation is considered.
Using the Hone's method, based on the use of the Laurent-series solutions and
the residue theorem, we have proved that this equation has neither elliptic
standing wave nor elliptic travelling wave solutions. This result amplifies the
Hone's result, that this equation has no elliptic travelling wave solutions.

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